On closed abelian subgroups of real Lie groups.
Wüstner, Michael (1997)
Journal of Lie Theory
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Wüstner, Michael (1997)
Journal of Lie Theory
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Meena Sahai (1996)
Publicacions Matemàtiques
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Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.
Barberis, M.L., Dotti, I. (2004)
Journal of Lie Theory
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Erich Selder (1988)
Mathematica Scandinavica
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Kriegl, Andreas, Michor, Peter W. (1997)
Journal of Lie Theory
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Tenorio, Á.F. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Anne C. Morel (1968)
Colloquium Mathematicae
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Francesco Catino, Ernesto Spinelli (2007)
Bollettino dell'Unione Matematica Italiana
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For a group algebra KG of a non-abelian group G over a field K of positive characteristic p we study the strong Lie derived length of the associated Lie algebra.
Fred Clare (1976)
Colloquium Mathematicae
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Kharazishvili, Aleksander (2015-11-18T12:34:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Benayed, Miloud (1998)
Journal of Lie Theory
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David B. Penman, Matthew D. Wells (2014)
Acta Arithmetica
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We call a subset A of an abelian group G sum-dominant when |A+A| > |A-A|. If |A⨣A| > |A-A|, where A⨣A comprises the sums of distinct elements of A, we say A is restricted-sum-dominant. In this paper we classify the finite abelian groups according to whether or not they contain sum-dominant sets (respectively restricted-sum-dominant sets). We also consider how much larger the sumset can be than the difference set in this context. Finally, generalising work of Zhao, we provide asymptotic...
Krzysztof Krupiński (2005)
Fundamenta Mathematicae
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Luise-Charlotte Kappe, M. J. Tomkinson (1998)
Rendiconti del Seminario Matematico della Università di Padova
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P. McInerney (1982)
Compositio Mathematica
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